3-2x(5-2x)=4x^2+x-30

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Solution for 3-2x(5-2x)=4x^2+x-30 equation: 


Simplifying
3 + -2x(5 + -2x) = 4x2 + x + -30
3 + (5 * -2x + -2x * -2x) = 4x2 + x + -30
3 + (-10x + 4x2) = 4x2 + x + -30

Reorder the terms:
3 + -10x + 4x2 = -30 + x + 4x2

Add '-4x2' to each side of the equation.
3 + -10x + 4x2 + -4x2 = -30 + x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + -10x + 0 = -30 + x + 4x2 + -4x2
3 + -10x = -30 + x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + -10x = -30 + x + 0
3 + -10x = -30 + x

Solving
3 + -10x = -30 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
3 + -10x + -1x = -30 + x + -1x

Combine like terms: -10x + -1x = -11x
3 + -11x = -30 + x + -1x

Combine like terms: x + -1x = 0
3 + -11x = -30 + 0
3 + -11x = -30

Add '-3' to each side of the equation.
3 + -3 + -11x = -30 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -30 + -3
-11x = -30 + -3

Combine like terms: -30 + -3 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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